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Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/118660
Description: Introduced by Kraitchik and Lehmer, an x-pseudosquare is a positive integer n ≡ I (mod 8) that is a quadratic residue for each odd prime p ≤ x, yet is not a square. We use bounds of character sums to ... More
Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/88417
Description: 7 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/319815
Description: 10 page(s)
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/149776
Description: We discuss classical and quantum algorithms for solvability testing and finding integer solutions x,y of equations of the form af x  + bg y  = c over finite fields Fq. A quantum algorithm with time co ... More
Reviewed: Reviewed
Date: 2007
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/25027
Description: The intention of the paper is to move a step towards a classification of network topologies that exhibit periodic quantum dynamics. We show that the evolution of a quantum system whose hamiltonian is ... More
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/136401
Description: We give asymptotic formulas for the number of biquadratic extensions of ℚ that admit a quadratic extension which is a Galois extension of ℚ with a prescribed Galois group, for example, with a Galois g ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/146993
Description: We obtain some theoretical and experimental results concerning various properties (the number of fixed points, image distribution, cycle lengths) of the dynamical system naturally associated with Ferm ... More
Reviewed: Reviewed
Date: 2010
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/128897
Description: 16 page(s)
Reviewed: Reviewed
Date: 2006
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/20103
Description: We study some arithmetic properties of the Ramanujan function τ(n), such as the largest prime divisor P(τ(n)) and the number of distinct prime divisors ω(τ(n)) of τ(n) for various sequences of n. In p ... More
Reviewed: Reviewed
Date: 2006
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/16983
Description: We show that for arbitrary positive integers a₁, . . . , am, with probability 6/π² + o(1), the gcd of two linear combinations of these integers with rather small random integer coefficients coincides ... More
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/319782
Description: 7 page(s)
Reviewed: Reviewed
Date: 2013
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/279863
Description: 8 page(s)
Reviewed: Reviewed
Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1195130
Description: We use new bounds of double exponential sums with ratios of integers from prescribed intervals to get an asymptotic formula for the number of solutions to congruences [equation presented here], with v ... More
Reviewed: Reviewed
Date: 2006
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/124379
Description: 9 page(s)
Date: 2005
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/148916
Description: We consider the problem of determining a rational function f over a finite field Fp of p elements given a noisy black box , which for each t⋳Fp returns several most significant bits of the residue of ... More
Reviewed: Reviewed